What is the answer to 2|x-7|+8=12 ?

The answer to 2|x-7|+8=12 is x=5\lor x=9

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2|x-7|+8=12

2 ∣ x - 7 ∣ + 8 = 12

x = 5 or x = 9

Solution steps

2 ∣ x - 7 ∣ + 8 = 12

Move

8

to the right side

2 ∣ x - 7 ∣ = 4

Divide both sides by

2

∣ x - 7 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 7 = - 2 or x - 7 = 2

x - 7 = - 2 or x - 7 = 2

x = 5 or x = 9

∣ x ∣ = - 86

∣ b + 3 ∣ = 11

∣ 8 X + 19 ∣ = 15

∣ α ∣ = 4

∣ α ∣ = 5